if f(x)=x^2, and
g(x)=x-1,then

f(g(x))= ___x^2+___x+____
​

Answer:

x= -1

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

3x+2(x-9)=8x+x-14 ;; equation

simplify the equation to the form

3x+2(x-9)=8x+x-14

reorder the terms in parentheses

3x+(+2x-18)=8x+x-14

remove unnecessary parentheses

+3x+2x-18=+8x+x-14

move all terms containing x to the left and all other terms to the right.

+3x+2x-8x-1x=-14+18

simplify left and right side of the equation.

-4x=+4

divide both sides of the equation by -4 to get x.

x=-1

Answer: x^2+2x-8<0

Step-by-step explanation:

A. x^2 - 2x - 8 < 0

(x - 4)(x + 2) < 0

B. x^2 + 2x - 8 < 0

(x + 4)(x - 2) < 0

C. x^2 - 2x - 8 > 0

(x - 4)(x - 2) > 0

D. x^2 + 2x - 8 > 0

(x + 4)(x - 2) > 0

When you test a point in the interval between -4 and 2, for example 0, it is negative.

[tex]x^2+2x-8 < 0[/tex] represents the given solution set.

A mathematical expression in which left hand side is not equal to right hand side is known as inequality.

The given solution set is x>-4 and x<2

Option A: [tex]x^2-2x-8 < 0[/tex]

(x+2)(x-4)<0

x<-2 and x<4

Option B: [tex]x^2+2x-8 < 0[/tex]

(x-2)(x+4)<0

x<-4 and x<2

Option C: [tex]x^2-2x-8 > 0[/tex]

(x+2)(x-4)>0

x>4 and x>-2

Option D: [tex]x^2+2x-8 > 0[/tex]

(x-2)(x+4)>0

x>-4 and x>2

Hence, [tex]x^2+2x-8 < 0[/tex] represents the given solution set.

Learn more about inequality here:

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ECH is an acute angle.

FCG is also an acute angle.

Answer:

Vertical angles

Step-by-step explanation:

Vertical angles are angles formed by two intersecting lines, which the angles are facing the opposite direction. Also the angles are on the same vertice (point).

Answer:

y= 1/4x + 8

comparing with

y= mx + c

slope = 1/4

for y intercept x=0

y=8

Step-by-step explanation:

The slope of the line is 1/4, The y-intercept is 8.

In the equation y = (1/4)x + 8, the coefficient of x is 1/4. This coefficient represents the slope of the line.

Therefore, the slope of the line is 1/4.

The equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept.

In this equation, the y-intercept is the value of y when x is 0. By substituting x = 0 into the equation, find the y-intercept.

y = (1/4)(0) + 8

= 0 + 8

= 8

Hence, the y-intercept is 8.

To know more about line here

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Answer:

88

Step-by-step explanation:

if the decimal is below 5 then round down

Answer:

88

Step-by-step explanation:

2 is less than 5, therefor it would be rounded to 88. If a number higher than five or five was in two's place it would be rounded to 89.

The answer is (-2,5.5)

Step-by-step explanation:

Hope this helps

Answer:

Yes

Step-by-step explanation:

Short cut: write down the recurring digitswrite a 9 for each recurring digit.

Answer: 0.2

Step-by-step explanation: Necesitamos ajustar la estimación de 0.1561 al décimo más cercano.

El número después del decimal es el número en el décimo lugar. Considere el número a un lado del lugar de las décimas y utilice el número para decidir si se reunirán o seguirán siendo el equivalente. Observe que el número a un lado del décimo lugar es mayor o equivalente a 5 o menos de 5. En el caso de que ese número sea más digno de mención o equivalente a 5, en ese punto el número se reunirá aún en la remota posibilidad de que ese número es menor de 5, en ese momento el número no se reunirá. Permanecerá igual.

Consideremos el número dado 0.1561

El número en el lugar de las décimas es 1

El número después del punto de las décimas es 5 (que es más prominente o equivalente a 5)

De esta manera, el número se reunirá en 0,2

Answer:

[tex]y=\frac{3}{2}x-\frac{15}{2}[/tex]

Step-by-step explanation:

Use the point-slope formula [tex]y-y_{1}=m(x-x_{1})[/tex]

First you have to find m with the formula [tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

[tex]m = \frac{9 - 6}{11 - 9} = \frac{3}{2}[/tex]

Choose whichever point you want as [tex](x_{1}, y_{1})[/tex], in this case I'll choose [tex](9, 6)[/tex]

[tex]y - y_{1} = m(x - x_{1})\\y - 6 = \frac{3}{2} (x - 9)\\y - 6 = \frac{3}{2}x - \frac{27}{2} \\y = \frac{3}{2}x - \frac{27}{2} + 6\\y = \frac{3}{2}x - \frac{15}{2}[/tex]

Answer:

x = (√6/√5) - 1

Step-by-step explanation:

- 10 x = 5x^2 -1

can be written as

5x² + 10x - 1 = 0

completing the square method :

for quadratic equation of the format ax² + bx + c = 0 ,

step 1, divide equation by a

therefore. dividing the equation by 5

=> x² + 2x - (1/5) = 0

=> x² + 2x = 1/5

c - 2b/4 = -1/5 - (2(2)/4) = -(6/5)

b/2 = 1

=> x² + 2x +1 = 6/5

=> (x + 1)² = 6/5

=> x = (√6/√5) - 1

Answer:

-11=x

Step-by-step explanation:

2/5x-3.6 is the simplified when you DISTRIBUTE 2/5 multiplying both parts of the parentheses. Add 3.6 to both sides 2/5x=-4.4 then 2x=-22, x=-11

Answer: -36

Step-by-step explanation:

To evaluate the expression, you want to plug in r to solve.

-40(-31-16(-2))²+(-2)²              [parenthesis]

-40(1)²+(-2)²                             [exponent]

-40+4                                       [add]

-36

Now we know the expression is equal to -36 when r=-2.

ANSWER: (12,11), (x,y)

12 steps to the right on the x-axismaking the value a plus, and 11 steps up on the y axis making the numeral positive as well.

1. 5/6

2. 7/8

3. 1/2

4. 5/4

5. 4/5

6. 5/4

7. 11/12

8. 5/4

9. 11/12

10. 2/3

11. 13/20

12. 1/12

13. 7/22

14. 7/18

15. 2/3

16. 5/12

17. 5/12

18. 3/8

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line given a point and slope we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (-2,-2) and slope = 1/2

The equation of the line is

[tex]y + 2 = \frac{1}{2} (x + 2) \\ y + 2 = \frac{1}{2} x + 1 \\ y = \frac{1}{2} x + 1 - 2[/tex]

We have the final answer as

[tex]y = \frac{1}{2} x - 1[/tex]

Hope this helps you

Answer:

A subtract 0.03

Step-by-step explanation:

This is because when she rounded $24.97 to $25.00 she added $0.03 cents so she needs to subtract that amount to get the exact number.

Answer:

It is C

Step-by-step explanation:

Got it right in edg

Answer:

A piece of charcoal was unearthed at an archeological site and found to contain 10% of its original carbon-14. The half-life of carbon-14 is 5,730 years. This means that after 5,730 years, only half of the original amount of carbon-14 will remain.  Which equation can be solved to determine the age of the charcoal?

C on edg

Step-by-step explanation:

Answer:

for -11, 28. for 11, -38

Step-by-step explanation:

Typos in your question. can't tell if you need -11 or pos 11

-3(-11)-5 = 33-5= 28

-3(11)-5 = -33-5 = -38

Answer:

-2x/100 + 35

Step-by-step explanation:

Step 1:

12x ÷ 100 + 35,000 - 14x ÷ 100

Step 2:

- 2x ÷ 100 + 35,000 ÷ 100

Step 3:

- 2x ÷ 100 + 35

Answer:

- 2x/100 + 35

Hope This Helps :)

Answer:

0.00484

Step-by-step explanation:

Answer:

A. -2, x= -2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given

- 12x - 2(x + 9) = 5(x + 4) ← distribute parenthesis on both sides )

- 12x - 2x - 18 = 5x + 20 , that is

- 14x - 18 = 5x + 20 ( subtract 5x from both sides )

- 19x - 18 = 20 ( add 18 to both sides )

- 19x = 38 ( divide both sides by - 19 )

x = - 2 → A

Answer:

110 Degrees

Step-by-step explanation:

Subtract 150 from 40

Answer:

¾x + 7

Step-by-step explanation:

"The sum of": Addition expression

"¾ of a number": ¾x

"and 7": + 7

Combine them all and you get ¾x + 7

Answer:

m∠2=65

Step-by-step explanation:

They are corresponding angels which means they are congruent.

Answer:

  A) inches: 1.5, 1.2, 3.0, 3.9

  B) km 72, 46.25, 340, 101.5

Step-by-step explanation:

A) To find the distance in inches, divide by 10 miles:

  15 miles ⇒ 1.5 inches

  12 miles ⇒ 1.2 inches

  30 miles ⇒ 3.0 inches

  39 miles ⇒ 3.9 inches

__

B) To find the distance in km, multiply the map distance by 5.

  14.4 in ⇒ 72 km

  9.25 in ⇒ 46.25 km

  68 in ⇒ 340 km

  20.3 in ⇒ 101.5 km

Answer:

m=6

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

one side is equal to 5. So 5 ×3